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What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle?


Enter your answer, as a fraction in simplest form, in the box.

P(inside larger triangle and outside smaller triangle) = 

quilly  Apr 27, 2018
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 #1
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The area of the larger triangle   is  (1/2) (base) * (height )  =  (1/2)(10) * (6)    = 30 cm^2

 

The area of the smaller  triangle is :   (1/2) (base ) ( height)  =  (1/2) (4)(4)  = 8 cm^2

 

So...the area beween these triangles   =   30 - 8  =   22 cm^2

 

So....

 

P( inside larger triangle and outside smaller triangle)  =   

 

area between triangles / area of larger triangle  = 

 

 22 / 30  =  11 / 15

 

 

cool cool cool

CPhill  Apr 27, 2018

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